What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?

Answer: 19/3

Step-by-step explanation:

If you want to find which have a decimal equivalent to a repeating decimal, all you have to do is divide each one and see which turns out to be a repeating decimal. 19 divided by 3 is 6.333333333 repeating, so it would be a repeating decimal. This is easiest to do with a calculator, but it is also important to learn how to do it by hand.

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The corresponding z-score is -1.80 (rounded to two decimal places).  The x value corresponding to z = -0.25 is x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50)).

To find the x value corresponding to z = -0.25, we need to use the standard normal distribution table or calculator. First, we calculate the z-score:
z = (x - μ) / (s / sqrt(n))
where μ is the population mean (which we don't know), s is the sample standard deviation, n is the sample size, and x is the value we want to find. Rearranging this formula, we get:
x = μ + z * (s / sqrt(n))
Substituting the given values, we get:
x = μ + (-0.25) * (12 / sqrt(50))
x = μ - 1.697
Now we need to find the corresponding value of x from the standard normal distribution table or calculator. Looking up -1.697 in the table, we find that the corresponding area is 0.0445. Since we're looking for the left-tail area (z < 0), we subtract this area from 0.5 (the total area under the curve):
0.5 - 0.0445 = 0.4555
Looking up 0.4555 in the table (or using a calculator), Therefore, the x value corresponding to z = -0.25 is:
x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50))

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When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

Step-by-step explanation:

x= 180-110(angles on a straight line)

x= 70

y=x=70 (alternate angles)

z= 110(alternate angles)

Answer: 4

Step-by-step explanation:

The area of the Trapezium given in the question is 28ft²

The area of a trapezium is calculated using the relation :

Using the parameters given for our compuation:

height, h = 4

b1 = 9

b2 = 5

Inputting the parameters into our formula :

Area = 4/2(5 + 9)

Area = 2(14)

Area = 28ft²

Therefore, the area of the Trapezium is 28ft²

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Answer:

one solution x = 11/7 hope this can help you!

Answer:

52%

There were 50 Students surveyed

12 girls preferred to work at the senior center

14 boys preferred to work at the senior center

12 + 14 = 26 students prefer to work at the senior center

26 students out of 50 students= 26/50

26/50= 52%

Step-by-step explanation:

Two plus x divided by twelve equals one divided by three

Case 1 :

Rewrite into numbers : 2 + x /12 = 1/3

-> x/12 = 1/3 - 2 = -5/3

-> x = -5/3 x 12 = -20

Case 2 :

Rewrite into numbers : (2 + x)/12 = 1/3

-> 2 + x = 1/3 x 12 = 4

-> x = 4 - 2 = 2

i dont know if you meant it the right way or the wrong way but ill just put them both

x=2

Step-by-step explanation:

(2+x)/12=1/3

3(2+x)=12

2+x=4

x=4-2

x=2

In interval notation, this can be written as (-∞, -26]

To solve the inequality 11a - 4(a + 2) <= 8a + 10, we will simplify and isolate the variable 'a'.

First, distribute the -4 to the terms inside the parentheses:

11a - 4a - 8 <= 8a + 10

Combine like terms on both sides:

7a - 8 <= 8a + 10

Next, isolate the variable 'a' by subtracting 7a and adding 8 to both sides:

-8 - 8 <= 8a - 7a + 10

-16 <= a + 10

Subtract 10 from both sides:

-16 - 10 <= a

-26 <= a

Therefore, the solution to the inequality is a >= -26.

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Answer:

41 units

Step-by-step explanation:

To do this, you can simply count on your fingers, or you can take the absolute value of both, add them, and that's how far apart they are.

The absolute value of -25 is 25, and the absolute value of 16 is, well, 16, and 16+25 is 41.

The distance between 16 and -25 on the number line is 41 units. To find the distance between two points on a number line, you can simply subtract their positions, regardless of whether they are positive or negative numbers.

Distance = |Position of point 1 - Position of point 2|

In this case, we want to find the distance between 16 and -25:

Distance = |16 - (-25)|

To simplify the calculation:

Distance = |16 + 25|

Distance = |41|

The distance between 16 and -25 on the number line is 41 units.

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The explicit formula is Tn = 18[\(\frac{2}{3} ^{n-1}\)]

here, we have to find n.

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

These equations form a pattern.

That is Tn = (2/3)^(n-1)(18)

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Complete question :

The expression 12g gives the number of kilometers a car can travel using g liters of gasoline.How far can this car travel on 6 1/2 liters of gasoline

Answer:

78 km

Step-by-step explanation:

12g = Number of kilometers traveled using g litres of gasoline. - - - (1)

The expression shows that:

Kilometers per gallon = 12

Number of gallons used = miles per gallon * distance

Distance that can be traveled on a 6 1/2 lites of gas :

Here, g = 6 1/2

Substituting the value of g into the expression Given :

Distance = 12g

g = 6 1/2

Distance = 12(6 1/2)

Distance = 12(13/2) = 12(6.5)

Distance = 78 km

Answer: 54

Step-by-step explanation:

The value of m ∠C will be;

⇒ m ∠C = 54°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △ABC , m ∠A= 37° and m ∠B = 89° .

Now,

Since, In △ABC ,

⇒ m ∠A= 37° and m ∠B = 89°

We know that;

⇒ m ∠A + m ∠B + m ∠C = 180°

⇒ 37° + 89° + m ∠C = 180°

⇒ 126° + m ∠C = 180°

⇒ m ∠C = 180° - 126°

⇒ m ∠C = 54°

Thus, The value of m ∠C will be;

⇒ m ∠C = 54°

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Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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The Polynomial Roots are given as follows:
 

x₁=−1.2085

x₂=0.2709+1.2576i

x₃=0.2709−1.2576i

It is to be noted that the Polynomial 3x³+ 2x2 + 3x + 6 has no real rational roots that can be found using the rational root text. Hence, this was solved using the Qubic Formulas.

The roots (also known as zeroes or solutions) of a polynomial P (x) P(x) P(x) are the x values for which P (x) P(x) P(x) equals zero.

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​

Answer: 12

Step-by-step explanation:

I got it right

Answer:

7

Step-by-step explanation:

The ratio of potatoes to onions is 1:2, meaning there are twice as many onions as potatoes.

\(\frac{\text{potatoes}}{\text{onions}}=\frac{1}{2}=\frac{x}{14}\)

The fraction on the right is equivalent to 1/2, so the numerator is half the denominator.  There are 7 potatoes.

Answer:

Corey has to be 36 while Brad is 18

Step-by-step explanation:

The factors of 54 is 1,2,3,6,9,18,27, and 54.

i pulled 18 because it look like the key number. Corey is 2 times older than Brad, that means you add multiply 18 x 2. Then you get 36. Then u subtract 36 from 54 then you get Brads age :)

Answer:1.41

Step-by-step explanation: subtraction

The concentration of the solution prepared by adding 15.00 mL of 2.07 M into a 50.00 mL volumetric flask and diluting to the mark is approximately 0.621 M.

To calculate the concentration of the solution, we can use the formula: C1V1 = C2V2. Where: C1 = initial concentration of the solution; V1 = initial volume of the solution ; C2 = final concentration of the solution;  V2 = final volume of the solution. In this case: C1 = 2.07 M; V1 = 15.00 mL; C2 = ?; V2 = 50.00 mL. Plugging in the values into the formula, we have: (2.07 M)(15.00 mL) = C2(50.00 mL).

Now, solve for C2: C2 = (2.07 M)(15.00 mL) / (50.00 mL). C2 = 0.621 M. Therefore, the concentration of the solution prepared by adding 15.00 mL of 2.07 M into a 50.00 mL volumetric flask and diluting to the mark is approximately 0.621 M.

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The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

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18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

The first integral is bounded by specific equations and involves integration with respect to x and y. The second integral is bounded by different equations the third integral is defined over a circular region.

In the first integral, JDJ, the region D is bounded by the equations y = 0, y = 4 - x², x = 0, and x = 2. To evaluate this integral, we need to perform a double integration with respect to x and y. The limits of integration for x are from 0 to 2, while the limits for y depend on the value of x. The function being integrated is not specified, so the integrand would need to be given in order to obtain the precise result.

In the second integral, Jpfe & G C dy dr, the region D is bounded by the equations y = 2x, y = 0, x = √ln 3, and y = 2√ln 3. Here, the integration is done with respect to y first and then with respect to x. The limits for y are determined by the given equations, while the limits for x are constant. The specific integrand is not provided, so further information would be required to compute the result accurately.

The third integral, 2 du dr, is defined over a circular region D given by the equation x² + y² = 1. This equation represents a unit circle centered at the origin. The integration is performed in polar coordinates, where u represents the angle and r denotes the radial distance. The limits for u would typically range from 0 to 2π, covering the entire circle, while the limits for r would depend on the radius of the circle involved in the problem. The integrand function is not specified, so the complete problem statement would be necessary to determine the exact result.

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Three consecutives even integers are 42, 44, and 46.

The three consecutives even integers can be represented as x, x+2, and x+4. We can create an equation to solve for x, using the given information.

3(x+4) = 52 + x + (x+2)

3x + 12 = 54 + 2x

x = 42

Therefore, the three consecutives even integers are 42, 44, and 46. To explain this answer, we can use the equation we created. We know that the sum of the smaller two integers is 52 less than three times the largest. We can represent this as 3(x+4) = 52 + x + (x+2). We can then solve for x by subtracting 2x from both sides and adding 12 to both sides, resulting in x = 42. This means that the three consecutives even integers are 42, 44, and 46.

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Answer:

the multiplication of rational numbers is distributive over addition of rational numbers.

Answer:

66.66%

Step-by-step explanation:

Divide 1000 by 15, and get your answer. If it would be 50, then it would be 50%.

The answer is b. False. The mean of a random variable with only integer values may not always be an integer. The sum of integer values can result in a non-integer mean depending on their frequencies or weights.

The mean, e(x), of a random variable is a measure of its central tendency and is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. However, if the random variable, x, has only integer values, it does not necessarily mean that the mean will always be an integer.

Let's consider an example to understand this concept better. Suppose we have a random variable, x, that represents the number of children in a family. The possible values for x are 0, 1, 2, 3, and so on. Let's say the probabilities associated with each of these values are 0.2, 0.3, 0.4, 0.05, and 0.05, respectively. If we calculate the mean using these probabilities and integer values, we would get:

(0 * 0.2) + (1 * 0.3) + (2 * 0.4) + (3 * 0.05) + (4 * 0.05) = 1.45

In this case, the mean, e(x), is 1.45, which is not an integer. Therefore, the statement that the mean of a random variable with only integer values will always be an integer is false.

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Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Answer: 78.54

Step-by-step explanation:

Answer:

31.4 cm²

Step-by-step explanation:

10*3.14=31.4²

Answer:

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation: